An efficient method for solving stiff transient field problems arising from FEM formulations
By: Richard Franke, David Salinas
Contributors: Salinas, David; Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1979
Place of publication: Monterey, California
Language: eng
Number of pages: 18
Subjects: Differential equations; Numerical solutions; Matrices; Finite element method
Description: The method chosen for solution of stiff systems (*) is a version of Gear's method which solves the system in its implicit form.  This leads to the necessity of being able to solve (repeatedly) linear algebraic equations whose coefficient matrix has the same sparse and banded nature as (Aij).  Storage requirements for various orders of polynomial traingular elements under compact storage mode, profile storage mode, and banded symmetric storage mode are given and compared. For large systems (*), compact storage mode leads to significantly reduced requirements.  Consideration of the linear algebraic systems which arise in Gear's method reveals that iteration should be computationally efficient.  A comparison between various solution methods is given for a nonlinear reactor dynamics proglem.  Associated with each solution method is a different storage mode.
Notes: Title from cover.

"Prepared for: Chief of Naval Research, Arlington, VA 22217."

"NPS-53-79-002"--Cover.

Technical report for period January - March 1979.

Includes bibliographical references (p. 16)

"Approved for public release; distribution is unlimited"--Cover.

Technical report; 1979.

ck/ oclc 7/9/09.